Question

The surface area of a sphere is 5544cm2 find the volume of the sphere

Answer 1

radius=21
volume of sphere= 38808

Answer 2

Answer ⤵️

Surface area of the sphere= 4πr²

5544= 4πr²

${r}^{2} = \frac{5544}{4\pi} \\ {r}^{2} = \frac{5544 \times 7}{4 \times 22} \\ {r}^{2} = \frac{252 \times 7}{4} \\ {r }^{2} = 63 \times 7 \\ {r}^{2} = 441 \\ r = \sqrt{441} \\ r = 21$

So its radii is 21 cm.

Volume of the sphere= 4/3πr²

$\frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \\ = \frac{4}{3} \times22 \times 3 \times 21 \\ = 4 \times 22 \times 21 \\ = 1848 \: \: \: {m}^{3}$

Step-by-step explanation:

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